Calculating Torque for Sphere in Countersink: Simple Guide"

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SUMMARY

The discussion focuses on calculating the torque required to extract a 6.0mm diameter ball bearing sphere from a countersink with a 0.5mm depth and a 45° angle, using a spring that exerts a force of 76.26N at 11.6mm of compression. The torque calculation is essential for ensuring the proper functioning of a coffee milling appliance, preventing motor issues. The variables involved include the spring force, the dimensions of the countersink, and the sphere's fixed diameter, all of which influence the torque in Newton-meters (Nm) needed for extraction.

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headhole[ita]
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I need help (in a very simple way) due to calculate the torque needed to let a sphere coming out of a countersink.
I'll try to explain better my application with the components involved:
1. a spring that apply a Force F=76.26N (nominal length 14mm) at 11.6mm of compression: these values could be variable;
2. a ball bearing sphere 6.0mm diameter: this is a fixed value;
3. a countersink of 0.5mm x 45° in a 5.0mm hole (the height and the angle could be variable);
The spring push the sphere inside the countersink hole.
The countersink holes are cnc in a coffee milling appliance and I need to know the torque in Nm to let the sphere coming out of the countersink (this is used to avoid problems on the driving motor).
If needed I can try explain better with a drawing.
 
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